基于区间值模糊集的模糊区域拓扑关系模型

在GIS实际应用领域中,采样点的属性数据往往不是精确的数值,而是一个区间范围,对此类空间数据的建模、分析和推理越来越受到相关领域研究者的重视.利用区间值模糊集描述由不确定属性数据所圈定的模糊区域,基于区间值和区间值模糊集的运算性质,给出了模糊区域间拓扑关系的分析模型.该模型改进了基于经典模糊集及其截集的拓扑关系模型,对模糊区域拓扑关系的分析结果更符合人们的认知习惯,可以利用区间值结果进行推理和决策,能够有效地分析由区间值属性所确定的模糊区域间的拓扑关系,在地理信息系统和空间数据库等领域具有实际应用价值.

Topological Relations Model of Fuzzy Regions Based on Interval Valued Fuzzy Sets

In the applications of GIS,the attribute data of sample point isn't often precise value,but an interval range.The modeling,analyzing and reasoning of this kind of data has gained more and more attention from researchers.The method describes the fuzzy regions determined by indeterminate attribute value using interval valued fuzzy sets.Based on the operation property of interval value and interval valued fuzzy sets,the analyzing model of topological relations between fuzzy regions is proposed.It improves the original topological relations model that use traditional fuzzy set and cut-set.The analysis result accords with the cognitive principle of people and can be used to reasoning and make decision.It can efficiently judge the topological relations between fuzzy regions determined by interval-valued attribute and it is valuable in the fields such as GIS,geography and spatial databases.